Solve x=-1/60*4+139/60*2-1

$$x = - \frac { 1 } { 60 } \times 4 + \frac { 139 } { 60 } \times 2 - 1$$

Solve for x

$$x = \frac{107}{30} = 3\frac{17}{30} \approx 3.566666667$$

Steps for Solving Linear Equation

Express -\frac{1}{60}\times 4 as a single fraction.

$$x=\frac{-4}{60}+\frac{139}{60}\times 2-1$$

Reduce the fraction \frac{-4}{60} to lowest terms by extracting and canceling out 4.

$$x=-\frac{1}{15}+\frac{139}{60}\times 2-1$$

Express \frac{139}{60}\times 2 as a single fraction.

$$x=-\frac{1}{15}+\frac{139\times 2}{60}-1$$

Multiply 139 and 2 to get 278.

$$x=-\frac{1}{15}+\frac{278}{60}-1$$

Reduce the fraction \frac{278}{60} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{15}+\frac{139}{30}-1$$

Least common multiple of 15 and 30 is 30. Convert -\frac{1}{15} and \frac{139}{30} to fractions with denominator 30.

$$x=-\frac{2}{30}+\frac{139}{30}-1$$

Since -\frac{2}{30} and \frac{139}{30} have the same denominator, add them by adding their numerators.

$$x=\frac{-2+139}{30}-1$$

Add -2 and 139 to get 137.

$$x=\frac{137}{30}-1$$

Convert 1 to fraction \frac{30}{30}.

$$x=\frac{137}{30}-\frac{30}{30}$$

Since \frac{137}{30} and \frac{30}{30} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{137-30}{30}$$

Subtract 30 from 137 to get 107.

$$x=\frac{107}{30}$$

Assign x

$$x≔\frac{107}{30}$$